(X+1)2=(x+2)2+(x+3)2

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Solution for (X+1)2=(x+2)2+(x+3)2 equation: 


Simplifying
(X + 1) * 2 = (x + 2) * 2 + (x + 3) * 2

Reorder the terms:
(1 + X) * 2 = (x + 2) * 2 + (x + 3) * 2

Reorder the terms for easier multiplication:
2(1 + X) = (x + 2) * 2 + (x + 3) * 2
(1 * 2 + X * 2) = (x + 2) * 2 + (x + 3) * 2
(2 + 2X) = (x + 2) * 2 + (x + 3) * 2

Reorder the terms:
2 + 2X = (2 + x) * 2 + (x + 3) * 2

Reorder the terms for easier multiplication:
2 + 2X = 2(2 + x) + (x + 3) * 2
2 + 2X = (2 * 2 + x * 2) + (x + 3) * 2
2 + 2X = (4 + 2x) + (x + 3) * 2

Reorder the terms:
2 + 2X = 4 + 2x + (3 + x) * 2

Reorder the terms for easier multiplication:
2 + 2X = 4 + 2x + 2(3 + x)
2 + 2X = 4 + 2x + (3 * 2 + x * 2)
2 + 2X = 4 + 2x + (6 + 2x)

Reorder the terms:
2 + 2X = 4 + 6 + 2x + 2x

Combine like terms: 4 + 6 = 10
2 + 2X = 10 + 2x + 2x

Combine like terms: 2x + 2x = 4x
2 + 2X = 10 + 4x

Solving
2 + 2X = 10 + 4x

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 2X = 10 + -2 + 4x

Combine like terms: 2 + -2 = 0
0 + 2X = 10 + -2 + 4x
2X = 10 + -2 + 4x

Combine like terms: 10 + -2 = 8
2X = 8 + 4x

Divide each side by '2'.
X = 4 + 2x

Simplifying
X = 4 + 2x

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